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Complex variables and applications / (Record no. 1526)

MARC details
000 -LEADER
fixed length control field 04387cam a22002414a 4500
001 - CONTROL NUMBER
control field 241D
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200621082527.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 021108s2004 iaua b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0072872527 (alk. paper)
040 ## - CATALOGING SOURCE
Transcribing agency PK
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.9
Edition number 21
Item number B87717
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Brown, James Ward
245 10 - TITLE STATEMENT
Title Complex variables and applications /
Statement of responsibility, etc James Ward Brown, Ruel V. Churchill
250 ## - EDITION STATEMENT
Edition statement 7th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Islamabad :
Name of publisher, distributor, etc NBF,
300 ## - PHYSICAL DESCRIPTION
Extent xvi, 458 p. :
Other physical details ill. ;
Dimensions 25 cm.
490 1# - SERIES STATEMENT
Series statement Brown-Churchill series
500 ## - GENERAL NOTE
General note Includes bibliographical references (p. 437-439) and index.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of complex variables.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Churchill, Ruel V.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Complex Numbers<br/>Sums and Products<br/>Basic Algebraic Properties<br/>Further Properties<br/>Moduli<br/>Complex Conjugates<br/>Exponential Form<br/>Products and Quotients in Exponential Form<br/>Roots of Complex Numbers<br/>Examples<br/>Regions in the Complex Plane<br/>2 Analytic Functions<br/>Functions of a Complex Variable<br/>Mappings<br/>Mappings by the Exponential Function<br/>Limits<br/>Theorems on Limits<br/>Limits Involving the Point at Infinity<br/>Continuity<br/>Derivatives<br/>Differentiation Formulas<br/>Cauchy–Riemann Equations<br/>Sufficient Conditions for Differentiability<br/>Polar Coordinates<br/>Analytic Functions<br/>Examples<br/>Harmonic Functions<br/>Uniquely Determined Analytic Functions<br/>Reflection Principle<br/>3 Elementary Functions<br/>The Exponential Function<br/>The Logarithmic Function<br/>Branches and Derivatives of Logarithms<br/>Some Identities Involving Logarithms<br/>Complex Exponents<br/>Trigonometric Functions<br/>Hyperbolic Functions<br/>Inverse Trigonometric and Hyperbolic Functions<br/>4 Integrals<br/>Derivatives of Functions w(t)<br/>Definite Integrals of Functions w(t)<br/>Contours<br/>Contour Integrals<br/>Examples<br/>Upper Bounds for Moduli of Contour Integrals<br/>Antiderivatives<br/>Examples<br/>Cauchy–Goursat Theorem<br/>Proof of the Theorem<br/>Simply and Multiply Connected Domains<br/>Cauchy Integral Formula<br/>Derivatives of Analytic Functions<br/>Liouville’s Theorem and the Fundamental Theorem of Algebra<br/>Maximum Modulus Principle<br/>5 Series<br/>Convergence of Sequences<br/>Convergence of Series<br/>Taylor Series<br/>Examples<br/>Laurent Series<br/>Examples<br/>Absolute and Uniform Convergence of Power Series<br/>Continuity of Sums of Power Series<br/>Integration and Differentiation of Power Series<br/>Uniqueness of Series Representations<br/>Multiplication and Division of Power Series<br/>6 Residues and Poles<br/>Residues<br/>Cauchy’s Residue Theorem<br/>Using a Single Residue<br/>The Three Types of Isolated Singular Points<br/>Residues at Poles<br/>Examples<br/>Zeros of Analytic Functions<br/>Zeros and Poles<br/>Behavior of f Near Isolated Singular Points<br/>7 Applications of Residues<br/>Evaluation of Improper Integrals<br/>Example<br/>Improper Integrals from Fourier Analysis<br/>Jordan’s Lemma<br/>Indented Paths<br/>An Indentation Around a Branch Point<br/>Integration Along a Branch Cut<br/>Definite Integrals Involving Sines and Cosines<br/>Argument Principle<br/>Rouche;’s Theorem<br/>Inverse Laplace Transforms<br/>Examples<br/>8 Mapping by Elementary Functions<br/>Linear Transformations<br/>The Transformation w = 1/z<br/>Mappings by 1/z<br/>Linear Fractional Transformations<br/>An Implicit Form<br/>Mappings of the Upper Half Plane<br/>The Transformation w = sin z<br/>Mappings by z2 and Branches of z1/2<br/>Square Roots of Polynomials<br/>Riemann Surfaces<br/>Surfaces for Related Functions<br/>9 Conformal Mapping<br/>Preservation of Angles<br/>Scale Factors<br/>Local Inverses<br/>Harmonic Conjugates<br/>Transformations of Harmonic Functions<br/>Transformations of Boundary Conditions<br/>10 Applications of Conformal Mapping<br/>Steady Temperatures<br/>Steady Temperatures in a Half Plane<br/>A Related Problem<br/>Temperatures in a Quadrant<br/>Electrostatic Potential<br/>Potential in a Cylindrical Space<br/>Two-Dimensional Fluid Flow<br/>The Stream Function<br/>Flows Around a Corner and Around a Cylinder<br/>11 The Schwarz–Christoffel Transformation<br/>Mapping the Real Axis onto a Polygon<br/>Schwarz–Christoffel Transformation<br/>Triangles and Rectangles<br/>Degenerate Polygons<br/>Fluid Flow in a Channel Through a Slit<br/>Flow in a Channel with an Offset<br/>Electrostatic Potential about an Edge of a Conducting Plate<br/>12 Integral Formulas of the Poisson Type<br/>Poisson Integral Formula<br/>Dirichlet Problem for a Disk<br/>Related Boundary Value Problems<br/>Schwarz Integral Formula<br/>Dirichlet Problem for a Half Plane<br/>Neumann Problems<br/>Appendixes<br/>Bibliography<br/>Table of Transformations of Regions<br/>Index<br/>
Holdings
Withdrawn status Damaged status Not for loan Home library Current library Date acquired Full call number Barcode Date last seen Price effective from Koha item type Source of acquisition
      UE-Central Library UE-Central Library 09.07.2018 515.9 B87717 T241D 09.07.2018 09.07.2018 Books  
      UE-Central Library UE-Central Library 13.08.2018 515.9 B87717 T367D 13.08.2018 13.08.2018 Books U.E.6254
      UE-Central Library UE-Central Library 13.08.2018 515.9 B87717 T543D 13.08.2018 13.08.2018 Books U.E.6256
      UE-Central Library UE-Central Library 12.09.2018 515.9 B87717 T366D 12.09.2018 12.09.2018 Books U.E.6248
      UE-Central Library UE-Central Library 12.09.2018 515.9 B87717 T368D 12.09.2018 12.09.2018 Books U.E.6249
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